| Abstract: | We propose, in this paper, three dimensional constitutive relations suitable for describing the dynamic electromechanical responses of ferroelectric materials. Our approach is phenomenological and is based on the assumptions that the macroscopic electrical properties can be represented by electric dipoles whose magnitude and direction can be altered by external stimuli. The constitutive relations for the stress and the electric displacement take into account the transient and instantaneous responses of the dipole moments and the transient response of domain switching. A specific respesentation of the theory is also derived; this representation is suitable for studying the responses of ferroelectic materials to dynamic mechanical loading and rapidly applied electric field. |
